PararealML
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pararealml
PararealML
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Y
A
all_index_coordinates() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
all_vector_field_indices (pararealml.differential_equation.DifferentialEquation attribute)
(pararealml.DifferentialEquation attribute)
AnimatedPlot (class in pararealml)
(class in pararealml.plot)
anti_laplacian() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
apply() (pararealml.Constraint method)
(pararealml.constraint.Constraint method)
apply_constraints_along_last_axis() (in module pararealml)
(in module pararealml.constraint)
are_all_boundary_conditions_static (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
are_there_boundary_conditions_on_y (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
auto_diff (pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapArg attribute)
auto_regression_mode (pararealml.operators.ml.pidon.pidon_operator.PIDONOperator attribute)
(pararealml.operators.ml.pidon.PIDONOperator attribute)
AutoDifferentiator (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.auto_differentiator)
AutoRegressionOperator (class in pararealml.operators.ml.auto_regression)
(class in pararealml.operators.ml.auto_regression.auto_regression_operator)
axes (pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
AxialBoundaryPoints (class in pararealml.operators.ml.pidon.collocation_point_sampler)
axis_coordinates() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
B
BackwardEulerMethod (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
batch_curl() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
batch_divergence() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
batch_gradient() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
batch_hessian() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
batch_laplacian() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
batch_vector_laplacian() (pararealml.operators.ml.pidon.auto_differentiator.AutoDifferentiator method)
(pararealml.operators.ml.pidon.AutoDifferentiator method)
bc_loss_weight (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
bc_losses (pararealml.operators.ml.pidon.Loss attribute)
(pararealml.operators.ml.pidon.loss.Loss attribute)
BetaInitialCondition (class in pararealml)
(class in pararealml.initial_condition)
boundary (pararealml.operators.ml.pidon.data_set.DataBatch attribute)
boundary_batch_size (pararealml.operators.ml.pidon.data_set.DataSetIterator attribute)
boundary_collocation_data (pararealml.operators.ml.pidon.data_set.DataSet attribute)
(pararealml.operators.ml.pidon.DataSet attribute)
boundary_conditions (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
BoundaryCondition (class in pararealml)
(class in pararealml.boundary_condition)
BoundaryDataBatch (class in pararealml.operators.ml.pidon.data_set)
branch_activation (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
branch_hidden_layer_sizes (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
branch_initialization (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
BurgerEquation (class in pararealml)
(class in pararealml.differential_equation)
C
CahnHilliardEquation (class in pararealml)
(class in pararealml.differential_equation)
call (pararealml.operators.ml.deeponet.DeepONet attribute)
CARTESIAN (pararealml.CoordinateSystem attribute)
(pararealml.mesh.CoordinateSystem attribute)
cartesian_coordinate_grids() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
CauchyBoundaryCondition (class in pararealml)
(class in pararealml.boundary_condition)
cell_center_axis_coordinates (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
cell_center_coordinate_grids (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
cells_shape (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
close() (pararealml.Plot method)
(pararealml.plot.Plot method)
CollocationPoints (class in pararealml.operators.ml.pidon.collocation_point_sampler)
CollocationPointSampler (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.collocation_point_sampler)
constrained_problem (pararealml.initial_value_problem.InitialValueProblem attribute)
(pararealml.InitialValueProblem attribute)
(pararealml.operators.ml.pidon.DataSet attribute)
(pararealml.operators.ml.pidon.PIDeepONet attribute)
(pararealml.operators.ml.pidon.data_set.DataSet attribute)
(pararealml.operators.ml.pidon.pi_deeponet.PIDeepONet attribute)
ConstrainedProblem (class in pararealml)
(class in pararealml.constrained_problem)
Constraint (class in pararealml)
(class in pararealml.constraint)
construct() (pararealml.operators.ml.pidon.Loss class method)
(pararealml.operators.ml.pidon.loss.Loss class method)
ContinuousInitialCondition (class in pararealml)
(class in pararealml.initial_condition)
ContourPlot (class in pararealml)
(class in pararealml.plot)
ConvectionDiffusionEquation (class in pararealml)
(class in pararealml.differential_equation)
coordinate_grids() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
coordinate_system_type (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
CoordinateSystem (class in pararealml)
(class in pararealml.mesh)
CrankNicolsonMethod (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
create_boundary_constraints() (pararealml.constrained_problem.ConstrainedProblem method)
(pararealml.ConstrainedProblem method)
create_rhs_map_function() (pararealml.operators.symbol_mapper.SymbolMapper method)
create_symbol_map() (pararealml.operators.symbol_mapper.SymbolMapper method)
create_y_vertex_constraints() (pararealml.constrained_problem.ConstrainedProblem method)
(pararealml.ConstrainedProblem method)
curl() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
CYLINDRICAL (pararealml.CoordinateSystem attribute)
(pararealml.mesh.CoordinateSystem attribute)
D
d_t (pararealml.operator.Operator attribute)
(pararealml.Solution attribute)
(pararealml.solution.Solution attribute)
d_x (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
d_y_condition() (pararealml.boundary_condition.BoundaryCondition method)
(pararealml.BoundaryCondition method)
(pararealml.CauchyBoundaryCondition method)
(pararealml.DirichletBoundaryCondition method)
(pararealml.NeumannBoundaryCondition method)
(pararealml.boundary_condition.CauchyBoundaryCondition method)
(pararealml.boundary_condition.DirichletBoundaryCondition method)
(pararealml.boundary_condition.NeumannBoundaryCondition method)
d_y_constraint_function (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapArg attribute)
d_y_over_d_n (pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
D_Y_OVER_D_T (pararealml.differential_equation.Lhs attribute)
(pararealml.Lhs attribute)
DataArgs (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pidon_operator)
DataBatch (class in pararealml.operators.ml.pidon.data_set)
DataSet (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.data_set)
DataSetIterator (class in pararealml.operators.ml.pidon.data_set)
DeepONet (class in pararealml.operators.ml.deeponet)
diff() (pararealml.Solution method)
(pararealml.solution.Solution method)
diff_eq_loss (pararealml.operators.ml.pidon.Loss attribute)
(pararealml.operators.ml.pidon.loss.Loss attribute)
diff_eq_loss_weight (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
differences (pararealml.solution.Diffs attribute)
differential_equation (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
DifferentialEquation (class in pararealml)
(class in pararealml.differential_equation)
Diffs (class in pararealml.solution)
DiffusionEquation (class in pararealml)
(class in pararealml.differential_equation)
dimensions (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
DirichletBoundaryCondition (class in pararealml)
(class in pararealml.boundary_condition)
discrete_y() (pararealml.Solution method)
(pararealml.solution.Solution method)
discrete_y_0() (pararealml.ContinuousInitialCondition method)
(pararealml.DiscreteInitialCondition method)
(pararealml.InitialCondition method)
(pararealml.initial_condition.ContinuousInitialCondition method)
(pararealml.initial_condition.DiscreteInitialCondition method)
(pararealml.initial_condition.InitialCondition method)
DiscreteInitialCondition (class in pararealml)
(class in pararealml.initial_condition)
discretize_time_domain() (in module pararealml.operator)
divergence() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
domain (pararealml.operators.ml.pidon.data_set.DataBatch attribute)
domain_batch_size (pararealml.operators.ml.pidon.data_set.DataSetIterator attribute)
domain_collocation_data (pararealml.operators.ml.pidon.data_set.DataSet attribute)
(pararealml.operators.ml.pidon.DataSet attribute)
DomainDataBatch (class in pararealml.operators.ml.pidon.data_set)
E
epochs (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
equation_indices_by_type() (pararealml.differential_equation.SymbolicEquationSystem method)
(pararealml.SymbolicEquationSystem method)
exact_y() (pararealml.initial_value_problem.InitialValueProblem method)
(pararealml.InitialValueProblem method)
ExplicitMidpointMethod (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
F
FDMOperator (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.fdm_operator)
FDMSymbolMapArg (class in pararealml.operators.fdm.fdm_symbol_mapper)
FDMSymbolMapper (class in pararealml.operators.fdm.fdm_symbol_mapper)
fit() (pararealml.operators.ml.auto_regression.auto_regression_operator.SKLearnRegressor method)
(pararealml.operators.ml.auto_regression.SKLearnRegressor method)
(pararealml.operators.ml.pidon.PIDeepONet method)
(pararealml.operators.ml.pidon.pi_deeponet.PIDeepONet method)
fit_model() (pararealml.operators.ml.auto_regression.auto_regression_operator.AutoRegressionOperator method)
(pararealml.operators.ml.auto_regression.AutoRegressionOperator method)
fit_with_lbfgs() (pararealml.operators.ml.pidon.pi_deeponet.PIDeepONet method)
(pararealml.operators.ml.pidon.PIDeepONet method)
FNNRegressor (class in pararealml.operators.ml.fnn_regressor)
ForwardEulerMethod (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
from_cartesian_coordinates() (in module pararealml)
(in module pararealml.mesh)
G
GaussianInitialCondition (class in pararealml)
(class in pararealml.initial_condition)
generate_data() (pararealml.operators.ml.auto_regression.auto_regression_operator.AutoRegressionOperator method)
(pararealml.operators.ml.auto_regression.AutoRegressionOperator method)
generate_plots() (pararealml.Solution method)
(pararealml.solution.Solution method)
get_full_batch() (pararealml.operators.ml.pidon.data_set.DataSetIterator method)
get_iterator() (pararealml.operators.ml.pidon.data_set.DataSet method)
(pararealml.operators.ml.pidon.DataSet method)
gradient() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
gradient_tol (pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
H
has_d_y_condition (pararealml.boundary_condition.BoundaryCondition attribute)
(pararealml.BoundaryCondition attribute)
(pararealml.CauchyBoundaryCondition attribute)
(pararealml.DirichletBoundaryCondition attribute)
(pararealml.NeumannBoundaryCondition attribute)
(pararealml.boundary_condition.CauchyBoundaryCondition attribute)
(pararealml.boundary_condition.DirichletBoundaryCondition attribute)
(pararealml.boundary_condition.NeumannBoundaryCondition attribute)
has_exact_solution (pararealml.initial_value_problem.InitialValueProblem attribute)
(pararealml.InitialValueProblem attribute)
has_y_condition (pararealml.boundary_condition.BoundaryCondition attribute)
(pararealml.BoundaryCondition attribute)
(pararealml.CauchyBoundaryCondition attribute)
(pararealml.DirichletBoundaryCondition attribute)
(pararealml.NeumannBoundaryCondition attribute)
(pararealml.boundary_condition.CauchyBoundaryCondition attribute)
(pararealml.boundary_condition.DirichletBoundaryCondition attribute)
(pararealml.boundary_condition.NeumannBoundaryCondition attribute)
hessian() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
I
ic_loss (pararealml.operators.ml.pidon.Loss attribute)
(pararealml.operators.ml.pidon.loss.Loss attribute)
ic_loss_weight (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
ImplicitMethod (class in pararealml.operators.fdm.numerical_integrator)
initial (pararealml.operators.ml.pidon.data_set.DataBatch attribute)
initial_batch_size (pararealml.operators.ml.pidon.data_set.DataSetIterator attribute)
initial_collocation_data (pararealml.operators.ml.pidon.data_set.DataSet attribute)
(pararealml.operators.ml.pidon.DataSet attribute)
initial_condition (pararealml.initial_value_problem.InitialValueProblem attribute)
(pararealml.InitialValueProblem attribute)
initial_value_data (pararealml.operators.ml.pidon.data_set.DataSet attribute)
(pararealml.operators.ml.pidon.DataSet attribute)
initial_value_problem (pararealml.Solution attribute)
(pararealml.solution.Solution attribute)
InitialCondition (class in pararealml)
(class in pararealml.initial_condition)
InitialDataBatch (class in pararealml.operators.ml.pidon.data_set)
InitialValueProblem (class in pararealml)
(class in pararealml.initial_value_problem)
integral() (pararealml.operators.fdm.BackwardEulerMethod method)
(pararealml.operators.fdm.CrankNicolsonMethod method)
(pararealml.operators.fdm.ExplicitMidpointMethod method)
(pararealml.operators.fdm.ForwardEulerMethod method)
(pararealml.operators.fdm.NumericalIntegrator method)
(pararealml.operators.fdm.RK4 method)
(pararealml.operators.fdm.numerical_integrator.BackwardEulerMethod method)
(pararealml.operators.fdm.numerical_integrator.CrankNicolsonMethod method)
(pararealml.operators.fdm.numerical_integrator.ExplicitMidpointMethod method)
(pararealml.operators.fdm.numerical_integrator.ForwardEulerMethod method)
(pararealml.operators.fdm.numerical_integrator.NumericalIntegrator method)
(pararealml.operators.fdm.numerical_integrator.RK4 method)
is_static (pararealml.boundary_condition.BoundaryCondition attribute)
(pararealml.BoundaryCondition attribute)
(pararealml.CauchyBoundaryCondition attribute)
(pararealml.DirichletBoundaryCondition attribute)
(pararealml.NeumannBoundaryCondition attribute)
(pararealml.boundary_condition.CauchyBoundaryCondition attribute)
(pararealml.boundary_condition.DirichletBoundaryCondition attribute)
(pararealml.boundary_condition.NeumannBoundaryCondition attribute)
L
laplacian() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
latent_output_size (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
Lhs (class in pararealml)
(class in pararealml.differential_equation)
lhs_types (pararealml.differential_equation.SymbolicEquationSystem attribute)
(pararealml.SymbolicEquationSystem attribute)
limit_visible_gpus() (in module pararealml.utils.tf)
LorenzEquation (class in pararealml)
(class in pararealml.differential_equation)
Loss (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.loss)
LotkaVolterraEquation (class in pararealml)
(class in pararealml.differential_equation)
lower_boundary_points (pararealml.operators.ml.pidon.collocation_point_sampler.AxialBoundaryPoints attribute)
M
map() (pararealml.operators.symbol_mapper.SymbolMapper method)
map_concatenated() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
mask (pararealml.Constraint attribute)
(pararealml.constraint.Constraint attribute)
masses (pararealml.differential_equation.NBodyGravitationalEquation attribute)
(pararealml.NBodyGravitationalEquation attribute)
matching_time_points (pararealml.solution.Diffs attribute)
max_iterations (pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
mean() (pararealml.operators.ml.pidon.Loss class method)
(pararealml.operators.ml.pidon.loss.Loss class method)
Mesh (class in pararealml)
(class in pararealml.mesh)
mesh (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
model (pararealml.operators.ml.auto_regression.auto_regression_operator.AutoRegressionOperator attribute)
(pararealml.operators.ml.auto_regression.AutoRegressionOperator attribute)
(pararealml.operators.ml.pidon.PIDONOperator attribute)
(pararealml.operators.ml.pidon.pidon_operator.PIDONOperator attribute)
ModelArgs (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pidon_operator)
mpi_time() (in module pararealml.utils.time)
multiply_and_add() (pararealml.Constraint method)
(pararealml.constraint.Constraint method)
N
n_batches (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
n_boundary_points (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
n_domain_points (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
n_ic_repeats (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
n_objects (pararealml.differential_equation.NBodyGravitationalEquation attribute)
(pararealml.NBodyGravitationalEquation attribute)
NavierStokesEquation (class in pararealml)
(class in pararealml.differential_equation)
NBodyGravitationalEquation (class in pararealml)
(class in pararealml.differential_equation)
NBodyPlot (class in pararealml)
(class in pararealml.plot)
NeumannBoundaryCondition (class in pararealml)
(class in pararealml.boundary_condition)
NumericalDifferentiator (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_differentiator)
NumericalIntegrator (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
O
ODEOperator (class in pararealml.operators.ode)
(class in pararealml.operators.ode.ode_operator)
Operator (class in pararealml.operator)
OptimizationArgs (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pidon_operator)
optimizer (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
P
pararealml (module)
pararealml.boundary_condition (module)
pararealml.constrained_problem (module)
pararealml.constraint (module)
pararealml.differential_equation (module)
pararealml.initial_condition (module)
pararealml.initial_value_problem (module)
pararealml.mesh (module)
pararealml.operator (module)
pararealml.operators (module)
pararealml.operators.fdm (module)
pararealml.operators.fdm.fdm_operator (module)
pararealml.operators.fdm.fdm_symbol_mapper (module)
pararealml.operators.fdm.numerical_differentiator (module)
pararealml.operators.fdm.numerical_integrator (module)
pararealml.operators.ml (module)
pararealml.operators.ml.auto_regression (module)
pararealml.operators.ml.auto_regression.auto_regression_operator (module)
pararealml.operators.ml.auto_regression.sklearn_keras_regressor (module)
pararealml.operators.ml.deeponet (module)
pararealml.operators.ml.fnn_regressor (module)
pararealml.operators.ml.pidon (module)
pararealml.operators.ml.pidon.auto_differentiator (module)
pararealml.operators.ml.pidon.collocation_point_sampler (module)
pararealml.operators.ml.pidon.data_set (module)
pararealml.operators.ml.pidon.loss (module)
pararealml.operators.ml.pidon.pi_deeponet (module)
pararealml.operators.ml.pidon.pidon_operator (module)
pararealml.operators.ml.pidon.pidon_symbol_mapper (module)
pararealml.operators.ode (module)
pararealml.operators.ode.ode_operator (module)
pararealml.operators.parareal (module)
pararealml.operators.parareal.parareal_operator (module)
pararealml.operators.symbol_mapper (module)
pararealml.plot (module)
pararealml.solution (module)
pararealml.utils (module)
pararealml.utils.rand (module)
pararealml.utils.tf (module)
pararealml.utils.time (module)
PararealOperator (class in pararealml.operators.parareal)
(class in pararealml.operators.parareal.parareal_operator)
PhaseSpacePlot (class in pararealml)
(class in pararealml.plot)
PIDeepONet (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pi_deeponet)
PIDONOperator (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pidon_operator)
PIDONSymbolMapArg (class in pararealml.operators.ml.pidon.pidon_symbol_mapper)
PIDONSymbolMapper (class in pararealml.operators.ml.pidon.pidon_symbol_mapper)
Plot (class in pararealml)
(class in pararealml.plot)
POLAR (pararealml.CoordinateSystem attribute)
(pararealml.mesh.CoordinateSystem attribute)
PopulationGrowthEquation (class in pararealml)
(class in pararealml.differential_equation)
predict() (pararealml.operators.ml.auto_regression.auto_regression_operator.SKLearnRegressor method)
(pararealml.operators.ml.auto_regression.SKLearnRegressor method)
Q
QuiverPlot (class in pararealml)
(class in pararealml.plot)
R
reset() (pararealml.operators.ml.pidon.data_set.DataSetIterator method)
rhs (pararealml.differential_equation.SymbolicEquationSystem attribute)
(pararealml.SymbolicEquationSystem attribute)
RK4 (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_integrator)
S
sample_boundary_points() (pararealml.operators.ml.pidon.collocation_point_sampler.CollocationPointSampler method)
(pararealml.operators.ml.pidon.CollocationPointSampler method)
(pararealml.operators.ml.pidon.UniformRandomCollocationPointSampler method)
(pararealml.operators.ml.pidon.collocation_point_sampler.UniformRandomCollocationPointSampler method)
sample_domain_points() (pararealml.operators.ml.pidon.collocation_point_sampler.CollocationPointSampler method)
(pararealml.operators.ml.pidon.CollocationPointSampler method)
(pararealml.operators.ml.pidon.UniformRandomCollocationPointSampler method)
(pararealml.operators.ml.pidon.collocation_point_sampler.UniformRandomCollocationPointSampler method)
save() (pararealml.AnimatedPlot method)
(pararealml.Plot method)
(pararealml.plot.AnimatedPlot method)
(pararealml.plot.Plot method)
ScatterPlot (class in pararealml)
(class in pararealml.plot)
score() (pararealml.operators.ml.auto_regression.auto_regression_operator.SKLearnRegressor method)
(pararealml.operators.ml.auto_regression.SKLearnRegressor method)
SecondaryOptimizationArgs (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.pidon_operator)
set_random_seed() (in module pararealml.utils.rand)
ShallowWaterEquation (class in pararealml)
(class in pararealml.differential_equation)
shape() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
show() (pararealml.Plot method)
(pararealml.plot.Plot method)
shuffle (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
SKLearnKerasRegressor (class in pararealml.operators.ml.auto_regression)
(class in pararealml.operators.ml.auto_regression.sklearn_keras_regressor)
SKLearnRegressor (class in pararealml.operators.ml.auto_regression)
(class in pararealml.operators.ml.auto_regression.auto_regression_operator)
Solution (class in pararealml)
(class in pararealml.solution)
solve() (pararealml.operator.Operator method)
(pararealml.operators.fdm.FDMOperator method)
(pararealml.operators.fdm.fdm_operator.FDMOperator method)
(pararealml.operators.ml.auto_regression.AutoRegressionOperator method)
(pararealml.operators.ml.auto_regression.auto_regression_operator.AutoRegressionOperator method)
(pararealml.operators.ml.pidon.PIDONOperator method)
(pararealml.operators.ml.pidon.pidon_operator.PIDONOperator method)
(pararealml.operators.ode.ODEOperator method)
(pararealml.operators.ode.ode_operator.ODEOperator method)
(pararealml.operators.parareal.PararealOperator method)
(pararealml.operators.parareal.parareal_operator.PararealOperator method)
SpaceLinePlot (class in pararealml)
(class in pararealml.plot)
spatial_dimension (pararealml.differential_equation.NBodyGravitationalEquation attribute)
(pararealml.NBodyGravitationalEquation attribute)
SPHERICAL (pararealml.CoordinateSystem attribute)
(pararealml.mesh.CoordinateSystem attribute)
static_boundary_cell_constraints (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
static_boundary_constraints() (pararealml.constrained_problem.ConstrainedProblem method)
(pararealml.ConstrainedProblem method)
static_boundary_vertex_constraints (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
static_y_vertex_constraints (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
StreamPlot (class in pararealml)
(class in pararealml.plot)
SurfacePlot (class in pararealml)
(class in pararealml.plot)
symbolic_equation_system (pararealml.BurgerEquation attribute)
(pararealml.CahnHilliardEquation attribute)
(pararealml.ConvectionDiffusionEquation attribute)
(pararealml.DifferentialEquation attribute)
(pararealml.DiffusionEquation attribute)
(pararealml.LorenzEquation attribute)
(pararealml.LotkaVolterraEquation attribute)
(pararealml.NBodyGravitationalEquation attribute)
(pararealml.NavierStokesEquation attribute)
(pararealml.PopulationGrowthEquation attribute)
(pararealml.ShallowWaterEquation attribute)
(pararealml.WaveEquation attribute)
(pararealml.differential_equation.BurgerEquation attribute)
(pararealml.differential_equation.CahnHilliardEquation attribute)
(pararealml.differential_equation.ConvectionDiffusionEquation attribute)
(pararealml.differential_equation.DifferentialEquation attribute)
(pararealml.differential_equation.DiffusionEquation attribute)
(pararealml.differential_equation.LorenzEquation attribute)
(pararealml.differential_equation.LotkaVolterraEquation attribute)
(pararealml.differential_equation.NBodyGravitationalEquation attribute)
(pararealml.differential_equation.NavierStokesEquation attribute)
(pararealml.differential_equation.PopulationGrowthEquation attribute)
(pararealml.differential_equation.ShallowWaterEquation attribute)
(pararealml.differential_equation.WaveEquation attribute)
SymbolicEquationSystem (class in pararealml)
(class in pararealml.differential_equation)
SymbolMapper (class in pararealml.operators.symbol_mapper)
Symbols (class in pararealml)
(class in pararealml.differential_equation)
symbols (pararealml.differential_equation.DifferentialEquation attribute)
(pararealml.DifferentialEquation attribute)
T
t (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
(pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapArg attribute)
(pararealml.operators.ml.pidon.collocation_point_sampler.CollocationPoints attribute)
(pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.DomainDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.InitialDataBatch attribute)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapArg attribute)
t_coordinates (pararealml.Solution attribute)
(pararealml.solution.Solution attribute)
t_interval (pararealml.initial_value_problem.InitialValueProblem attribute)
(pararealml.InitialValueProblem attribute)
t_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
ThreePointCentralDifferenceMethod (class in pararealml.operators.fdm)
(class in pararealml.operators.fdm.numerical_differentiator)
time() (in module pararealml.utils.time)
TimePlot (class in pararealml)
(class in pararealml.plot)
to_cartesian_coordinates() (in module pararealml)
(in module pararealml.mesh)
train() (pararealml.operators.ml.auto_regression.auto_regression_operator.AutoRegressionOperator method)
(pararealml.operators.ml.auto_regression.AutoRegressionOperator method)
(pararealml.operators.ml.pidon.PIDONOperator method)
(pararealml.operators.ml.pidon.pidon_operator.PIDONOperator method)
trunk_activation (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
trunk_hidden_layer_sizes (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
trunk_initialization (pararealml.operators.ml.pidon.ModelArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.ModelArgs attribute)
U
u (pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.DomainDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.InitialDataBatch attribute)
UniformRandomCollocationPointSampler (class in pararealml.operators.ml.pidon)
(class in pararealml.operators.ml.pidon.collocation_point_sampler)
unit_vector_grids() (pararealml.Mesh method)
(pararealml.mesh.Mesh method)
unit_vectors_at() (in module pararealml)
(in module pararealml.mesh)
upper_boundary_points (pararealml.operators.ml.pidon.collocation_point_sampler.AxialBoundaryPoints attribute)
use_cpu() (in module pararealml.utils.tf)
use_deterministic_ops() (in module pararealml.utils.tf)
V
values (pararealml.Constraint attribute)
(pararealml.constraint.Constraint attribute)
vector_laplacian() (pararealml.operators.fdm.numerical_differentiator.NumericalDifferentiator method)
(pararealml.operators.fdm.NumericalDifferentiator method)
vectorize_bc_function() (in module pararealml)
(in module pararealml.boundary_condition)
vectorize_ic_function() (in module pararealml)
(in module pararealml.initial_condition)
verbose (pararealml.operators.ml.pidon.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.SecondaryOptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.OptimizationArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.SecondaryOptimizationArgs attribute)
vertex_axis_coordinates (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
vertex_coordinate_grids (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
vertex_oriented (pararealml.operator.Operator attribute)
(pararealml.Solution attribute)
(pararealml.solution.Solution attribute)
vertices_shape (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
W
WaveEquation (class in pararealml)
(class in pararealml.differential_equation)
weighted_total_loss (pararealml.operators.ml.pidon.Loss attribute)
(pararealml.operators.ml.pidon.loss.Loss attribute)
X
x (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
(pararealml.operators.ml.pidon.collocation_point_sampler.CollocationPoints attribute)
(pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.DomainDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.InitialDataBatch attribute)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapArg attribute)
x_dimension (pararealml.differential_equation.DifferentialEquation attribute)
(pararealml.DifferentialEquation attribute)
x_intervals (pararealml.Mesh attribute)
(pararealml.mesh.Mesh attribute)
x_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
Y
Y (pararealml.differential_equation.Lhs attribute)
y (pararealml.differential_equation.Symbols attribute)
Y (pararealml.Lhs attribute)
y (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapArg attribute)
(pararealml.Symbols attribute)
(pararealml.operators.ml.pidon.data_set.BoundaryDataBatch attribute)
(pararealml.operators.ml.pidon.data_set.InitialDataBatch attribute)
y() (pararealml.Solution method)
(pararealml.solution.Solution method)
y_0() (pararealml.ContinuousInitialCondition method)
(pararealml.DiscreteInitialCondition method)
(pararealml.InitialCondition method)
(pararealml.initial_condition.ContinuousInitialCondition method)
(pararealml.initial_condition.DiscreteInitialCondition method)
(pararealml.initial_condition.InitialCondition method)
y_0_functions (pararealml.operators.ml.pidon.DataArgs attribute)
(pararealml.operators.ml.pidon.pidon_operator.DataArgs attribute)
y_cells_shape (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
y_condition() (pararealml.boundary_condition.BoundaryCondition method)
(pararealml.BoundaryCondition method)
(pararealml.CauchyBoundaryCondition method)
(pararealml.DirichletBoundaryCondition method)
(pararealml.NeumannBoundaryCondition method)
(pararealml.boundary_condition.CauchyBoundaryCondition method)
(pararealml.boundary_condition.DirichletBoundaryCondition method)
(pararealml.boundary_condition.NeumannBoundaryCondition method)
y_curl (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
y_curl_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_dimension (pararealml.differential_equation.DifferentialEquation attribute)
(pararealml.DifferentialEquation attribute)
y_divergence (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
y_divergence_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_gradient (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
y_gradient_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_hat (pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapArg attribute)
y_hessian (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
y_hessian_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
Y_LAPLACIAN (pararealml.differential_equation.Lhs attribute)
y_laplacian (pararealml.differential_equation.Symbols attribute)
Y_LAPLACIAN (pararealml.Lhs attribute)
y_laplacian (pararealml.Symbols attribute)
y_laplacian_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_shape() (pararealml.constrained_problem.ConstrainedProblem method)
(pararealml.ConstrainedProblem method)
y_vector_laplacian (pararealml.differential_equation.Symbols attribute)
(pararealml.Symbols attribute)
y_vector_laplacian_map_function() (pararealml.operators.fdm.fdm_symbol_mapper.FDMSymbolMapper method)
(pararealml.operators.ml.pidon.pidon_symbol_mapper.PIDONSymbolMapper method)
(pararealml.operators.symbol_mapper.SymbolMapper method)
y_vertices_shape (pararealml.constrained_problem.ConstrainedProblem attribute)
(pararealml.ConstrainedProblem attribute)
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